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kvasek [131]
3 years ago
6

Select the equation that most accurately depicts the word problem. One-half of a certain number is 95. - n = 95 + n = 95 • n = 9

5 ÷ n = 95
Mathematics
1 answer:
Dahasolnce [82]3 years ago
4 0

Answer:

n * \frac{1}{2} = 95

Step-by-step explanation:

Required:

Select the equation that most accurately depicts the word problem

One-half of a certain number is 95.

Take the certain number to be n.

This statement in equation form will be:n * \frac{1}{2} = 95

Therefore, the equation that most accurately depicts the word problem is n * \frac{1}{2} = 95

Although your options are incomplete, but this answer is correct.

The * symbol can be replaced with a dot sign

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How do i do 3 part a ?
WINSTONCH [101]


In general the binomial expansion is


(a+b)^n = {n \choose 0} a^0 b^n + {n \choose 1} a^1 b^{n-1} + {n \choose 2} a^2 b^{n-2} + ... + {n \choose n} a^n b^0


So in our case, because we want ascending powers of x we'll write,


(-3x + 1)^{11} =  {11 \choose 0} (-3x)^0 1^{11} + {11 \choose 1} (-3x)^{1} 1^{10} + {11 \choose 2} (-3x)^{2} 1^9  + {11 \choose 3 } (-3x)^3 1^8 + ...


We need to calculate the binomial coefficients:


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{11 \choose 3}  = \dfrac{11 \times 10 \times 9}{3 \times 2} = 165


(-3x+1)^{11} =  1 (-3x)^0 1^{11}  + 11(-3x)^{1} 1^{10}  + 55 (-3x)^2 1^{9}  + 165 (-3x)^3 1^8 + ...


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Step-by-step explanation:

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